Fundamental theorems for semi log canonical pairs
arXiv:1202.5365
Abstract
We prove that every quasi-projective semi log canonical pair has a quasi-log structure with several good properties. It implies that various vanishing theorems, torsion-free theorem, and the cone and contraction theorem hold for semi log canonical pairs.
44 pages, v2: Section 6 is new, v3: very minor revisions, v4: minor revisions, v5: revision following referee's report, v6: small mistakes were corrected, reference list was updated